Khloe Kardashian reportedly pregnant with twins

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"They want to keep it quiet until after Kim [Kardashian's wedding next month]. They don't want to overshadow her day," the source said.

Khloe has talked about her struggle with getting pregnant on the family's reality show, Keeping Up with the Kardashians. In one episode, she even has acupuncture to help stimulate her fertility.

"I'm 26. It should happen naturally. I don't want to force it. I would love to have a baby, and if I get pregnant, I get pregnant," she told People last August. "I don't think, like... my biological clock is ticking!"

Odom already has three children from a previous relationship, but is anxious to be a dad with Khloe.

As far as baby names go, Khloe and Lamar already have some picked out -- and they all start with the letter 'L.' They talked about it on their reality show before she was even pregnant. If it is a girl they like the name London and if it is a boy they like the name Luke Joseph.